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home / study / business / accounting / questions and answers / "josé runs a mail-order business for gym equipment ... Question "José runs a mail-order business for gym equipment from his house in Dorado. Annual demand for the PuertoFlexers (the best seller) is 25,000 in the US. Assume that the year has 360 days. He sells each product for $350, earning a markup of 20%, including shipping and handling to the US. The annual holding cost per unit is $5.50 and the cost to process an order is $25. It takes ten days to completely process an order. (Write down any assumption that you have to make.) What are the EOQ and Total Cost of this situation? How long does a cycle time last? If José has space for 565 products, can all be stored in his facilities? If José expect demand to rise by 15% next year, does he has to make any arrangements?
Explanation / Answer
Annual Demand, D = 25,000 units
Selling Cost per unit = $ 350
Handling cost = 20%
Annual holding cost per unit, Ch = $ 5.50
Order cost, Co = $ 25
EOQ or Q opt = 477 units
Total cost =
Total cost = 25000 x 350 + (25000/477) x 25 + ((477/2) x5.50) = 8752622.0
Jose has space for 565 products and EoQ = 477 can be accommodated in the space.
Number of total orders in year = 25000/477 =52.4 = 52 orders
Cycle time = 360/52 = 6.88 days
Even if the demand increases by 15 % in next year, EOQ = 511 units per order and need not increase space for storing..
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